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Finding the Third Proportional to 274,232 and 416,639

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Solution

The third proportional to 274,232 and 416,639 is: 632,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,232 : 416,639 = 416,639 : x
  2. Step 2: Convert to fraction form
    274,232/416,639 = 416,639/x
  3. Step 3: Cross multiply
    274,232x = 416,639 × 416,639
  4. Step 4: Simplify right side
    274,232x = 173,588,056,321
  5. Step 5: Solve for x
    x = 173,588,056,321/274,232
  6. Step 6: Final answer
    x = 632,997.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.